The population of Afghanistan is growing at a rate of 1.3% per year. In 2014 there were 30 million people in Afghanistan. The population (in millions) of Afghanistan x years after 2014 can be approximated by the function
f(x)=30(1.013)^x

a. Use the function to predict the population in Afghanistan in 2024.
b. Use the function to predict the population in Afghanistan in 2100.
c. Use the function to predict when (during what year) the population of Afghanistan will reach 50 million. (Feel free to use the online equation solver and/or grapher for this one.)

Answer:

The numerical value of XY is 11

The numerical value of YZ is 13

Step-by-step explanation:

Given that

XY =3x- 4 , YZ = 2x +3, and XZ =24​

As Y is between the points X and Z so the sum of length of XY and YZ will be equal to the length of XZ. Putting this in mathematical form

[tex]XY+YZ = XZ[/tex]

Putting the values

[tex](3x-4) + (2x+3) = 24\\3x-4+2x+3 = 24\\5x-1 = 24\\5x = 24+1 \\\frac{5x}{5} = \frac{25}{5}\\x = 5[/tex]

Now

[tex]XY = 3x-4 = 3(5)-4 = 15-4 = 11[/tex]

[tex]YZ = 2x+3 = 2(5)+3 = 10+3 = 13[/tex]

Hence,

The numerical value of XY is 11

The numerical value of YZ is 13

Answer:

The net present value of 1,500 a year from now at 5% interest is $1,428.57.

Step-by-step explanation:

NPV = 1,500 / 1.05 = 1,428.57

Answer: A

Step-by-step explanation:

Answer:

Its b

Step-by-step explanation:

Answer:

Step-by-step explanation:

1). ∠7 ≅ ∠ 2 (alternate exterior)

m∠7 = m∠2 = 30°

2). ∠4 and ∠1 are supplementary angles

m∠1 = 180° - 72° = 108°

Answer:

Step-by-step explanation:

f(-6)= 2(-6)= -12

Answer:

Step-by-step explanation:

2x=2(-6)= -12

Answer: 0.8

Step-by-step explanation:

Add a decimal point, and then add a zero to 8. Divide 8.0 ÷ 10. Your answer is 0.8 because 0.8 goes into 8 10 times. There is no remainder.

Hope it helps

lovelymoonlight

Answer:

Original number is 86

Step-by-step explanation:

              Original:   10x + y

Double reversed:   2(10y + x)

Constraints:

  x + y = 14                                     ===>            x = 14 - y

  2(10y + x) + 10x + y = 222          ===>           21y + 12x = 222

Substitution to find y:

  21y + 12x = 222

  21y + 12(14 - y) = 222

  21y + 168 - 12y = 222

            9y + 168 = 222

                      9y = 54

                        y = 6

Substitution to find x:

  x = 14 - y

  x = 14 - 6

  x = 8

Original:   10x + y

                 10(8) + (6)

                 80 + 6

                 86

Answer:

It is

X -6 -4 0 4 6

Y 8 6 2 -2 -4

Answer:

attached is the answer :)

Step-by-step explanation:

The length of the tangent AB is [tex]\sqrt{2a^{2}+2b^{2} }[/tex] if the radii of the largest circle is a and the radii of the smallest one is b.

It is a line that touches a single point on the circle.

Firstly we have to draw a perpendicular from O to the radii of the smallest circle. In this way AOLB becomes a rectangle. We let the point where the bisector intersect the radii as L.

OA=a

Lb=a also

O'L=b-a

In triangle OLO' we use pythagoras to calculate the value of OL which wil then equal to AB so,

OL=[tex]\sqrt{(b-a)^{2}+(a+b)^{2} }[/tex]

=[tex]\sqrt{2a^{2}+2b^{2} }[/tex]

It will be the length of AB also.

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Answer:

No. of 6 of hearts = 1

Total no. of cards = 52

Probability = 1/52

Hope it helps....... pls mark as brainliest

This is the likelihood or chance that an event will occur. The probability of choosing the "6 of hearts" is 1/52

This is the likelihood or chance that an event will occur. Mathematically;

Probability =expected/total

Since a standard deck of card contains 52 cards, hence total outcome is 52 cards

No. of 6 of hearts is 1 from the deck of cards

Pr(choosing 6 of hearts) = 1/52

Hence the probability of choosing the "6 of hearts" is 1/52

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Answer:

the empty boxes would both be 4

but it says only put the number one time in answer

so it would be 4

Step-by-step explanation:

Answer:

Mean = 22

Variance = 13.1320

Standard Deviation = 3.6238

Step-by-step explanation:

From the question, we can deduce that

n = 55 (sample)

p = 39.4% (proportion of those within the given range)

Solving (a): Expected Value, E(x)

This is calculated using the following formula.

E(x) = np

Substitute values for n and p

E(x) = 55 * 39.4%

E(x) = 55 * 0.394

E(x) = 21.67

E(x) = 22 ---- Approximated

Hence, the expected number of people is 22

Solving (b): Variance (σ²) and Standard Deviation (σ)

σ² is calculated as thus:

σ² = np(1 - p)

σ² = 55 * 39.4% * (1 - 39.4%)

σ² = 55 * 0.394 * (1 - 0.394)

σ² = 55 * 0.394 * 0.606

σ² = 13.13202

σ² = 13.1320 ---- Approximated

σ is calculated as follows:

σ = √σ²

Substitute value for σ²

σ = √13.13

σ = 3.6238 ----- Approximated

Answer:

31.73

Step-by-step explanation:

[tex]3x^{2} +5y[/tex]

x = 2.1

y = 3.7

Substitute;

[tex]3(2.1)^{2} +5(3.7)=3(4.41)+18.5=13.23+18.5=31.73[/tex]

Answer:

D

Step-by-step explanation:

I did the math on paper and I got d

Answer:

It will take 1,080 min or 18 hours

Step-by-step explanation:

Here is why, since 6600 miles is 12 times farther than 550 miles you'd multiply the time it took to go 550 miles by 12 too

Answer:

$5.25

Step-by-step explanation:

From the graph, the range of the sine function will be [-1, 1]. Then the correct option is C.

Trigonometric functions examine the interaction between the dimensions and angles of a triangular form.

It is a function that repeats itself in a particular time interval.

The domain means all the possible values of x and the range means all the possible values of y.

From the graph, the curve is a sinusoidal function. The domain of the sine function is all real numbers.

From the graph, the range of the sine function will be [-1, 1]. Then the correct option is C.

The diagram is given below.

More about the trigonometry link is given below.

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Answer:

3

Step-by-step explanation:

H is a horizontal shift to the right. The graph went over 2, so h=2. From there the graph went up 3 (vertical shift) so K=3

Answer:

A 40•d

Step-by-step explanation:

The product of 40 and the distance (d)

40•d

B is division

C is subtraction

D is addition

The product of two numbers is multiplication, so the answer must be A

Answer:

right. because if the insecticides gets in your mouth, it will infiltrate your lungs and you will suffocate.

Step-by-step explanation:

Answer:

0.6 - 0.43 = 0.17

Answer:

x = 3 x = ‐1/4

Step-by-step explanation:

Was right on the quiz

Answer:

x = 3 x = ‐1/4

Step-by-step explanation:

the first one is also right!!

Answer:

68

Step-by-step explanation:

Given triangle is an isoceless 56=56

So

X+56+56=180

X=180-112

X=68

So value is X is 68

Answer:

The required probability is [tex]\mathit{\frac{9}{14}}[/tex]

Step-by-step explanation:

Probability: Rule of Addition

The probability that Event A or Event B occurs is equal to the probability that Event A occurs plus the probability that Event B occurs minus the probability that both Events A and B occur. It can be calculated as follows:

P(A ∪ B) = P(A) + P(B) - P(A ∩ B)

There are 14 types of crackers the company sells, numbered from 1 to 14. The sample space for purchasing one cracker is:

[tex]\Omega=\{1,2,3,4,5,6,7,8,9,10,11,12,13,14\}[/tex]

There are n=14 possible choices.

The favorable cases for a cracker with an odd number are:

A = {1,3,5,7,9,11,13}

There are 7 favorable cases.

The favorable cases for a cracker with a number greater than 11 are:

B = {12,13,14}

There are 3 favorable cases.

The cases which are common to both events are:

A ∩ B= {13}

There is 1 case.

The probability of each event is:

[tex]\displaystyle P(A)=\frac{7}{14}=\frac{1}{2}[/tex]

[tex]\displaystyle P(B)=\frac{3}{14}[/tex]

[tex]\displaystyle P(A\cap B)=\frac{1}{14}[/tex]

Therefore:

[tex]\displaystyle P(A\cup B)=\frac{1}{2}+\frac{3}{14}-\frac{1}{14}[/tex]

Adding the fractions:

[tex]\displaystyle P(A\cup B)=\frac{7+3-1}{14}=\frac{9}{14}[/tex]

The required probability is [tex]\mathbf{\frac{9}{14}}[/tex]

Answer:

∠a=44,∠b=47, ∠c=89

Step-by-step explanation:

we can note that

∠a+∠b+∠c=180

hence,

3x+5+5x-18+7x-2=180

therefore,

3x+5x+7x+5-18-2=180

15x-15=180

15x=180+15

15x=195

x=[tex]\frac{195}{15}[/tex]

then, x=13.

with this values we can find all the angles:

∠a=3x+5 ⇒∠a=3(13)+5⇒∠a=39+5⇒∠a=44

∠b=5x-18⇒∠b=5(13)-18⇒∠b=65-18⇒∠b=47

∠c=7x-2⇒∠c=7(13)-2⇒91-2⇒∠c=89

We can corroborate these result by adding them.

∠a+∠b+∠c=

44+47+89=180

Thats right !!

Answer:

y = 5- 36

Step-by-step explanation:

6 is the x

-6 is the y

y=mx+b

so m times x, m is the slope

5 times 6 is 30

-6=30+b

so -36

y=5x-36

SORRY IF IM WRONG I TRIED

(5,-2)

that's all. up and down basically means that the point is moving along the x axis.

Answer:

Step-by-step explanation:

Given linear inequalities of the point (2,3)

So.

(X-2)(X-3)=0

x^2-2x-3x+6=0

x^2-5x+6=0

It's solutions is x^2-5x+6.

Answer:

75

Step-by-step explanation: